Enter coefficients a, b, and c to solve ax² + bx + c = 0. Shows discriminant and all roots including complex solutions.
Solve ax² + bx + c = 0
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Quick answers to common questions
x = (−b ± √(b² − 4ac)) / 2a. The expression b² − 4ac is called the discriminant (Δ).
If Δ > 0, two real roots. If Δ = 0, one repeated real root. If Δ < 0, two complex conjugate roots.
If a is zero, the equation is linear (not quadratic) and this solver will ask you to enter a non-zero value for a.
Yes. When the discriminant is negative, roots are displayed in a + bi form.
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